Let X and Y be two random variables joint probability distribution as below X Y -2 -1 0 1 2 0 0 0 .2 0 0 1 0 .2 0 .2 0 4 .2 0 0 0 .2 What can be said about X and Y? Choose as many options as required. X and Y are independent. ☐ X and Y are uncorrelated. ☐ X and Y are positively correlated. ☐ X and Y are negatively correlated.

Q: Suppose the joint probability distribution of the random variables X and Y is stated as follows: Y…

A: YX2450.10.2100.10.2150.30.1

Q: The probability distribution for a discrete random variable is given below: X         4     6     8…

A: Given that  Probability distribution table  X 4 6 8 10 P(x) 0.40 0.10 0.20 0.30   We know…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: The joint probability distribution of two random variables x, Y is given in the ta below. Y=-2 Y=- 1…

A:

Q: Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x =…

A:

Q: Q4: The random variable X has the probability distribution shown 1. 3 4 P(X = x) 7c 5c 4c 3c (1)…

A:

Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: Solution-: From given joint probability distribution table of two random variables X and Y we find,…

Q: Pain is measured on a scale from Grade 1 (no pain) to Grade 4 (severe pain). X is the pain score of…

A: 1. Wrong, because it is a discrete random variable. 2. Wrong, P(X<2) = P(X≤1)

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: Please calculate the variances, Var(X) and Var(Y), and the corresponding standard deviations for the…

A: …

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given  By using marginal formula…

Q: Consider the joint probability distribution of X and Y: x = -2 x = 0 x = 2 %3D y = -4 0.25 0.25 y= 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want the…

Q: 1) Assume the following joint probability distribution: P(x,y) X 1 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1…

A: X and Y are independent if E(XY)= E(X)*E(Y)  We find these values and check the condition.   And…

Q: Find the variance for the probability distribution 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select…

A:

Q: Let X and Y be two random variables. Suppose we know E(X) = 7 and E(Y)=3. Let Z = X − Y be a random…

A: Given EX=7 and EY=3.Let Z=X-Y.Then,E(Z)=4

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Independent event : The events  A and B are independent  if P( A and B ) = P(A)*P(B)

Q: Consider the following joint probabilities table for X and Y, where x = X\Y 90 100 110 0 0.05 0.27…

A: Here the given joint probabilities table for X and Y is :-…